Liquid jet injected into transverse subsonic gaseous flow has been widely utilized in many industrial applications. It is useful to determine the spatial distribution of generated droplets in the near-field region for high-efficiency combustion. In this paper, we propose a simplified model to predict droplet spatial distribution in transverse subsonic gaseous flow. Linear stability analysis has been used to determine the disturbance growth rate on the surface of a liquid column. When the amplitude of disturbance is of the same order of magnitude as jet radius, the liquid jet breaks up into ligaments. We can make an assumption that the generation rate of small droplet equals to liquid breakup rates, which varies with a spatial location under this circumstance. Combining these relations with the definition of SMD (Sauter mean diameter), a semitheoretical relation to evaluate droplet spatial distribution along the liquid column can be established. The present model has been compared with empirical relation based on experiments under different conditions. Results indicate that in the surface breakup region, the current model shows great consistency with experimental observations while there exists a relatively large discrepancy between the current model and experimental observation in the column breakup region because of its strong nonlinear effect near the breakup point. In addition, the effects of flow parameters on droplet size spatial distribution have been investigated.

中文翻译：

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亚音速错流中喷流的液滴尺寸空间分布模型

喷射到横向亚音速气流中的液体射流已在许多工业应用中得到广泛利用。确定近场区域中产生的液滴的空间分布对于高效燃烧是有用的。在本文中，我们提出了一种简化的模型来预测亚音速横向气流中的液滴空间分布。线性稳定性分析已用于确定液柱表面的扰动增长率。当扰动的幅度与射流半径的数量级相同时，液体射流会破裂成韧带。我们可以假设小液滴的产生速率等于液体分解速率，在这种情况下，液体分解速率随空间位置而变化。将这些关系与SMD（苏特平均直径）的定义结合起来，可以建立评估沿液柱的液滴空间分布的半理论关系。根据不同条件下的实验，将本模型与经验关系进行了比较。结果表明，在表面破裂区域，当前模型与实验观测值具有很好的一致性，而在破裂区域，当前模型与实验观测值之间存在较大差异，这是由于其在破裂点附近的强烈非线性影响。另外，已经研究了流动参数对液滴尺寸空间分布的影响。结果表明，在表面破裂区域，当前模型与实验观测值具有很好的一致性，而在破裂区域，当前模型与实验观测值之间存在较大差异，这是由于其在破裂点附近的强烈非线性影响。另外，已经研究了流动参数对液滴尺寸空间分布的影响。结果表明，在表面破裂区域，当前模型与实验观测值具有很好的一致性，而在破裂区域，当前模型与实验观测值之间存在较大差异，这是由于其在破裂点附近的强烈非线性影响。另外，已经研究了流动参数对液滴尺寸空间分布的影响。